Chapter 6: Linear Regression
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Questions and Answers

What is the equation of the regression line relating the number of hours watching TV (x) to the test score (y)?

  • y = -4.07x - 93.97
  • ŷ = 4.07x - 93.97
  • ŷ = -4.07x + 93.97 (correct)
  • y = 4.07x + 93.97

    • What is the predicted test score for a student who watches 9 hours of TV over the weekend?

  • 84.6
  • 76.56
  • 66.63
  • 57.34 (correct)

    • What is the slope of the regression line?

  • 93.97
  • -4.07 (correct)
  • 4.07
  • -93.97

    • What does the y-intercept of 93.97 represent?

    <p>The predicted test score for a student who watches 0 hours of TV</p> Signup and view all the answers

    What does a negative slope indicate about the relationship between TV hours and test scores?

    <p>As TV hours increase, test scores decrease</p> Signup and view all the answers

    Which of the following points lies on the regression line?

    <p>(4.5, 75.7)</p> Signup and view all the answers

    What is the coefficient of determination (r^2) for this regression?

    <p>The value is not given</p> Signup and view all the answers

    If the number of data points increased, what would happen to the regression line?

    <p>The line would change to better fit the additional data points</p> Signup and view all the answers

    What assumption is made when using linear regression?

    <p>The relationship between the variables is linear</p> Signup and view all the answers

    Which of the following values is an outlier in the given data?

    <p>A test score of 50 with 10 hours of TV</p> Signup and view all the answers

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